Function spaces and partial differential equations. Volume 2, Contemporary analysis / Ali Taheri, Department of Mathematics, University of Sussex.

Format:

Book

Author/Creator:

Taheri, Ali, author.

Series:

Oxford lecture series in mathematics and its applications ; Volume 40-41.

Oxford lecture series in mathematics and its applications ; Volume 40-41

Language:

English

Subjects (All):

Differential equations, Partial.

Function spaces.

Mathematical analysis.

Physical Description:

1 online resource (480 p.)

Edition:

First edition.

Place of Publication:

Oxford : Oxford University Press, 2015.

Language Note:

English

Summary:

This title presents a comprehensive treatment of aspects of classical and modern analysis relating to theory of 'partial differential equations' and the associated 'function spaces'.

Contents:

""15 Sobolev Spaces Wk,p(Ω) A Resolution of the Dirichlet Principle""; ""15.1 Calculus of Weak Derivatives""; ""15.2 Wk,p-Approximation by Smooth Functions""; ""15.3 Trace Theorem for W1,p(Ω); The Zero Trace Space Wk,p0(Ω)""; ""15.4 Poincaré Inequality; Equivalent Norms on Wk,p0""; ""15.5 Gagliardo-Nirenberg-Sobolev Inequality""; ""15.6 Embedding Theorems for Wk,p0 and Wk,p""; ""15.7 Rellich-Kondrachov Compactness Theorem""; ""15.8 The Spectrum of -Δ and the Perron-Frobenius Theorem""; ""15.9 Exercises and Further Results""; ""16 Singular Integral Operators and Vector-Valued Inequalities""

""17 Littlewood-Paley Theory, Lp-Multipliers and Function Spaces""""17.1 Littlewood-Paley Theory on the Line""; ""17.2 Littlewood-Paley Theory on the Euclidean n-Space: Part I""; ""17.3 Littlewood-Paley Theory on the Euclidean n-Space: Part II""; ""17.4 The Hörmander-Mihlin Multiplier Theorem""; ""17.5 A Littlewood-Paley Characterisation of Hs(Rn) and More""; ""17.6 Applications to Strichartz Estimates for the Wave Equation""; ""17.7 Slobodeckij Spaces Ws,p(Rn) and Bessel Potential Spaces Hsp(Rn) ""; ""17.8 Besov Spaces Bsp,q(Rn) and Triebel-Lizorkin Spaces Fsp,q(Rn)""

""17.9 Embeddings of Bsp,q(Rn) and Fsp,q(Rn)""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

0-19-104785-6

0-19-179772-3

0-19-104784-8